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D( x )
x+1 = 0
x+1 = 0
x+1 = 0
x+1 = 0 // - 1
x = -1
x in (-oo:-1) U (-1:+oo)
(x^3+5*x^2+6*x+2)/(x+1) = 0
x^3+5*x^2+6*x+2 = 0
x^3+5*x^2+6*x+2 = 0
{ 1, -1, 2, -2 }
1
x = 1
x^3+5*x^2+6*x+2 = 14
1
-1
x = -1
x^3+5*x^2+6*x+2 = 0
-1
x+1
x^2+4*x+2
x^3+5*x^2+6*x+2
x+1
-x^3-x^2
4*x^2+6*x+2
-4*x^2-4*x
2*x+2
-2*x-2
0
x^2+4*x+2 = 0
DELTA = 4^2-(1*2*4)
DELTA = 8
DELTA > 0
x = (8^(1/2)-4)/(1*2) or x = (-8^(1/2)-4)/(1*2)
x = (2*2^(1/2)-4)/2 or x = (-2*2^(1/2)-4)/2
x in { (-2*2^(1/2)-4)/2, (2*2^(1/2)-4)/2, -1}
(x-((-2*2^(1/2)-4)/2))*(x-((2*2^(1/2)-4)/2))*(x+1) = 0
(x-((-2*2^(1/2)-4)/2))*(x-((2*2^(1/2)-4)/2)) = 0
( x-((-2*2^(1/2)-4)/2) )
x-((-2*2^(1/2)-4)/2) = 0 // + (-2*2^(1/2)-4)/2
x = (-2*2^(1/2)-4)/2
( x-((2*2^(1/2)-4)/2) )
x-((2*2^(1/2)-4)/2) = 0 // + (2*2^(1/2)-4)/2
x = (2*2^(1/2)-4)/2
x in { (-2*2^(1/2)-4)/2, (2*2^(1/2)-4)/2 }
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